Abstract <p>We discuss the <InlineEquation ID="IEq1"> <EquationSource Format="TEX">\((L,n)\)</EquationSource> <!--PhysPart2570136Afonin-m1--> </InlineEquation>-classification of excited light non-strange mesons, where <i>L</i> and <i>n</i> are orbital and radial quantum numbers. The selection of true non-strange quark-antiquark excited states and assigning to them definite <i>L</i> and <i>n</i> is a notoriously confusing problem. Three guiding principles for selection of correct observed states are formulated. They are applied for construction of a new <InlineEquation ID="IEq2"> <EquationSource Format="TEX">\((L,n)\)</EquationSource> <!--PhysPart2570136Afonin-m2--> </InlineEquation>-classification. This classification is consistent both with the approximate Regge form of the spectrum and with the hydrogen-like degeneracy, i.e., the dependence of mass on the sum <InlineEquation ID="IEq3"> <EquationSource Format="TEX">\(L + n\)</EquationSource> <!--PhysPart2570136Afonin-m3--> </InlineEquation>.</p>

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Hydrogen-Like Symmetry in Regge Spectrum of Light Mesons: Selection of States

  • S. S. Afonin,
  • A. V. Sarantsev,
  • A. M. Tsymbal

摘要

Abstract

We discuss the \((L,n)\) -classification of excited light non-strange mesons, where L and n are orbital and radial quantum numbers. The selection of true non-strange quark-antiquark excited states and assigning to them definite L and n is a notoriously confusing problem. Three guiding principles for selection of correct observed states are formulated. They are applied for construction of a new \((L,n)\) -classification. This classification is consistent both with the approximate Regge form of the spectrum and with the hydrogen-like degeneracy, i.e., the dependence of mass on the sum \(L + n\) .